diff --git a/PEPit/examples/unconstrained_convex_minimization/accelerated_gradient_convex.py b/PEPit/examples/unconstrained_convex_minimization/accelerated_gradient_convex.py index 79b639a8..d28325fc 100644 --- a/PEPit/examples/unconstrained_convex_minimization/accelerated_gradient_convex.py +++ b/PEPit/examples/unconstrained_convex_minimization/accelerated_gradient_convex.py @@ -28,11 +28,11 @@ def wc_accelerated_gradient_convex(mu, L, n, wrapper="cvxpy", solver=None, verbo .. math:: - \\begin{eqnarray} + \\begin{align} \\text{Set: }\\lambda_{t+1} & = & \\frac{1 + \\sqrt{4\\lambda_t^2 + 1}}{2} \\\\ x_{t} & = & y_t - \\frac{1}{L} \\nabla f(y_t),\\\\ y_{t+1} & = & x_{t} + \\frac{\\lambda_t-1}{\\lambda_{t+1}} (x_t-x_{t-1}). - \\end{eqnarray} + \\end{align} **Theoretical guarantee**: The following worst-case guarantee can be found in e.g., [2, Theorem 4.4]: